{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 移动窗口函数\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from datetime import datetime\n",
    "from datetime import timedelta\n",
    "from dateutil.parser import parse\n",
    "from pandas import DataFrame, Series\n",
    "from scipy.stats import percentileofscore\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>XOM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1990-02-01</th>\n",
       "      <td>7.86</td>\n",
       "      <td>0.51</td>\n",
       "      <td>6.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-02-02</th>\n",
       "      <td>8.00</td>\n",
       "      <td>0.51</td>\n",
       "      <td>6.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-02-05</th>\n",
       "      <td>8.18</td>\n",
       "      <td>0.51</td>\n",
       "      <td>6.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-02-06</th>\n",
       "      <td>8.12</td>\n",
       "      <td>0.51</td>\n",
       "      <td>6.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-02-07</th>\n",
       "      <td>7.77</td>\n",
       "      <td>0.51</td>\n",
       "      <td>6.33</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AAPL  MSFT   XOM\n",
       "1990-02-01  7.86  0.51  6.12\n",
       "1990-02-02  8.00  0.51  6.24\n",
       "1990-02-05  8.18  0.51  6.25\n",
       "1990-02-06  8.12  0.51  6.23\n",
       "1990-02-07  7.77  0.51  6.33"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "close_px_all = pd.read_csv('../data/stock_px.csv', parse_dates=True, index_col=0)\n",
    "close_px = close_px_all[['AAPL', 'MSFT', 'XOM']]\n",
    "close_px.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22be3345400>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4gh89vpyqWi+gTRjci+evOBqAt1cXcfH9i9q93si+ORwzKp8bzhjXKL26NkBa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\niEiSU6AXEUlyCvQiIklOgV5EJMn9fxz65vSpNxIEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22bd91dbc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "close_px.AAPL.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22be2abc208>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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M3dPn5dH1h/nlS/uob+/hitNyuP6cWWSmJNDd56Grx0ttWzdNHT00d/bS0ePB\nq4rH6zwAkuJjmDgh9v2PxFiS42KI8sEoH49XOVTfzvbKFjYeamRXVQslNW3Utzv/D1ECJ2ensDQ/\nnauW5bJgWuScbA51EZHot5Q18bt/7mdLWROVzV3vWxflJvGUhFiyUuMpyErm5OwU8icnkZ2aQHZq\nPOlJcT67P4eq0tXrpbW7l7auPtq6nQ+Y/bXt7KtuZVdVKyW1bUf/ufPSEzklZyL5kxOZlZHMSVnJ\nzM5KHvToX1Vp6eqjob3n6KOxvYemzh7auz109npo7erjcEM7B+s6qGzuZKhfa1xMFFkp8WSmxDMl\nNYHZmcnMzkpiVkYyszKTSEmI9cnPxZdaunrZc6SVyqZOalq6qW3rpqali4P1HRyobaOlqw9wfu9F\n+ZM486QM/nVp7ri0pa27j1+s2csf3j5Ej8frk31GRwlTUhPITZ9A7qRE8tITyT36mEBmcjyqTpdL\nfXs3Vc1dHG7o4EhzF0eau6hu7aaisYOyhs6jMU2IjWb+tFRmZyZxSk4aC6elMndKKhPirA8+FEVE\nol9/sIFvPr6FRblpLMqZyKk5aeSlJ5KSEENiXHTQHbF29XrYXtHMxsONFB9sZE91K+WNnUeTPzhH\n/+nJcQhCT5+X+vYemjp66Dve1wUgPiaK5PgYctITmZWRxIzJiUxKjCM2Ooq4mChio+Xo+3f0OB8M\nzR291LR2U9fWTUVjJ4caOt4XR3ZqvJP8M5OZnZnEjIwkpqQmkJ2awKTEWL/9bLv7PFQ0dlLR1MnB\n+g5Ka9sprWtjb3UbFU2dH2h3Zko8eemJzMpMYnZmMqfNmMT8qakBu8FWWUMHb+yro7PXQ3xMFAmx\n0UxOimNSUhxpE2JJjI8mWoToKDn6bbGtq4/mzt73PVo6e2ns6KGyyUneZQ0d1LR2f6D9Hq9+4G8j\nSiAzJZ7s1ASmTkwgP8P52cyfmsqcKSl2y4IwEvBELyKXAr8EooF7VPW249WN5JOxvR4vh+o7KKlp\nY39tGyU1bTR39gIQGy2kJ8WRnhTHpMS4o8v9j7TEOBJjo33y9b6nz8vhhg721zpx7K9pP7rc6h4p\n94uLjiIjOY705DjSJsQxcYJzjiIp3vmAjTv6AeM8x8VEva+sp89LU2cPTR29NHX0UNfWwxH3aPTY\nbyMTYqOZMTmROVNSmDMlhblTUshLTyQzJYHUhJig+zD3p65eD+XuEXpZo5P842KimJwUz+TkOLJS\nEsjPSCQrJSEiL+yKRAFN9CISDewFLgLKgfXAKlXdOVj9SE70wU5VqW3r5nC9c0TpdAl0UdfaQ317\n99Ej0NauPtq7++jo8Yxo/wmVe5Q/AAAIcklEQVSxUWQkx5OVEk9ueiIz0hOZMTmJnEkTmDE5iezU\n+IhK5saMRKDH0S8DStx5ZRGRR4GVwKCJ3gQvESErJYGslIRh1Vd1uhJ6+rzvOxnsvHbKY6KFSYlx\npCXG2vhsY8aBvxL9dKBswOtyYLmf3ssEEREhNlqsH9iYIOKv/8bBvmu/r49IRFaLSLGIFNfW1vop\nDGOMMf5K9OVA7oDXOUDlwAqqereqFqlqUWZmpp/CMMYY469Evx4oEJGZIhIHXAU87af3MsYYcwJ+\n6aNX1T4R+QrwAs7wyvtUdYc/3ssYY8yJ+e0mLKr6LPCsv/ZvjDFmeGxohDHGhLmguAWCiNQChwLw\n1hlAXQDeN5Aisc1g7Y40kdLuGao65GiWoEj0gSIixcO5qiycRGKbwdod6DjGW6S2+3is68YYY8Kc\nJXpjjAlzkZ7o7w50AAEQiW0Ga3ekidR2Dyqi++iNMSYSRPoRvTHGhD1L9MYYE+YiItFLhM1cISJ+\nu+I5FETg7zvRfY60dgffxMZBKmwTvYjME5HTATRCTkSIyOki8ntgaaBjGU8icqaI3CUiX4bI+H2L\nSJSIpIvIi8C3IDLaDSAiK9zJjH4uIgsDHU8oCLtELyIT3WT3KPATEblVRE4KdFz+JiL/jjPSYCOw\nyZ3OMeyJyBLgLmADcJmI3CkihQEOy+9U1Qv0AROBWSJyIYT/Ub2IXIHz+/47kAD8h1se1u0eq7BL\n9DhHN6Kqi4DrgclAfkAjGh95wPdU9S5V7VLVkU3eGrqWAetV9R7g34AOnISfEdiwxsV84AjwBvBR\nEZkQAUf1BcAzqvoQcCc4XTgR0O4xCYtE7973foL78vfADwFUdT+QBpwSqNj8xW1zvLucDiwE3hWR\n80XkBRG5WUQ+4a4Pm6MdEblSRP5DRD7kFm0EkkVkiqoeAV7Buc/JGQEL0g8GtHvFgOJDwA5gL+AF\nLhWRKQEJ0E8GtPt0t2gP8AkR+TbwNjAN+I2IRFR35UiFdKIXkXwReQ64B3hIROao6iFVrXQnPAHo\nBPYHLkrfOqbND4vIPFVtAOqBPwGXA78FqoAfisiicDjaEZFoEfkh8B236H9F5KNAO3AQOMct/yfQ\njDvDWah/yA3S7t/3f4ADhUCSqr4ONAH/A/xURGLCtN0fA54Evg6cDVyjqpcCtcAnw+1DzpdCLtEf\n8wf8n8A6Vb0AeBWnT36Bu66/6+LoROUiEnLthRO2+RWcf+yZwI9wvrlUqupTqno/znwAK8c9YD9w\nu6LmAN9U1TuAW4Cv4sypUAUUish8Ve3DOer7uLtdSH/IDdLuHwFfE5GTcabnbBeR+4HP4xzZb1XV\nvjBt943Ayar6MtCF83sGeAo4FedD3wwiFBNfArxvCOEOAFX9NU5/7adFJEtVPe5J2AZV3SQiXwJ+\nICJpAYl6bI7X5t8ApwGrcY5q7gE+NWC7LOCt8QvTt0TkGhE5Z8DvrBqYJCIxqvoEzje1C4H+f/yf\nuvWmA+tDdZjpEO1+Euf3vxLIBC4GWoFFwM+BxSKSP/5Rj90Q7f4LTruvco/c9/Pe3/pinN+/OY6Q\nSfQicpGIrMEZUnWle+TWgPOHvUhEFgHbgRk4J2ABZgFLReRV4GPAo6raFIj4R2OYbd6BcyI2T1Vv\nBg6LyG0i8g6Q7q4PGeKY6v7OrgU+g9MHm4xzf/FTgGS3+i+Bq4EaVb0FaBKRf+DMUXyP+/MKCSNs\n96+BTwNbgPNV9Wuq2gxsBr6tqgfHvQGjNIp2fxzn2/qLOP/b7wBXADerauu4NyBUqGrQP4CTgHU4\nRzGLgUeALwMpwA9whlq9CRQBDwNfc7f7DE5ivDDQbRiHNt/obpcKzAUuDnQbRtHmaPf5ZOAhdzkG\n55zDvTgn1l/A6Z9NdNc/PqDtsUBmoNsxju3+urscBUQFuh3j1O4/A192l5OBUwLdjlB4BO1X2/7+\ndHXGCy8HNqjqU+66l4DbgT+r6k9EZJaqHnDXrQW63d08qqp/Gv/oR8dHbW5V1d3A7nFvwCi5XSw/\nBqJF5FmcDysPvG+i+SPAHTgfalcBU4HHgF7c7ilV7cXpwgoJPmj3O25d7/hHP3pjbHcPzjUTqGob\nsG3cGxCCgrLrRkQ+D5QDP3GLtgGrBvQ9xuD00d3pvi51t1sNXIcz5A4NobHkPmxzSJ2EE5FzcP5x\nJwElOO3vBc4TkWVwNJHdAvxcVR/E+dp+jYhswvm5hNw/u7U7stodcIH+SnHsA+fr2N9whlBtBOa6\n5b/A6b5YCzyE03f3DyDbXf8NYD2wNNBtsDaPqO1nAVcPeP1b4EvA53C+0YBzQDIFeALIdcumALMC\nHb+129odCo+AB3CcP4Y89/k24DF3ORrn5OKZ7utc4AEg3n2dGOi4rc2janciEM97/bWfAf7bXd4M\nfNVdLgIeCXS81m5rdyg+grLrRlUPu4u/AGaKyCXqdMM0q+qb7rov4lzu3udu0zH+kfpOJLYZnDao\nare+1812Ee/1s38emCcif8f5ZrMxEDH6g7U7stodaEF7MhZAVY+IyL3AzcAL6oyNXwZ8D2eExRc0\nhPrhhyMS2wzOlZCAAtnA025xK87PYSFQqqoVAQrPb6zdkdXuQAnqqQRFJEpVvSLyBM7Vj93AS8A+\nde5jE3Yisc1w9OrfOJyLvv4KfAHntg5fVdWWQMbmT9buyGp3oAT7Eb1XnEkVsoBzgR+r6vOBjcq/\nIrHN4IwWEpHFOH22M4H7VfXeAIfld9buyGp3oAR1ond9Gaev7iJV7R6qcpiIxDaDM7z0e8Ad1u6I\nEKntHndB3XUD73VlBDqO8RSJbTbG+E/QJ3pjjDFjE5TDK40xxviOJXpjjAlzluiNMSbMWaI3xpgw\nZ4neGGPCnCV6Y4wJc5bojTEmzP1/z5X14U/I+10AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22be336add8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "close_px.AAPL.rolling(window=250).mean().plot() # rolling_xxx系列函数已经被淘汰"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1990-02-01         NaN\n",
       "1990-02-02         NaN\n",
       "1990-02-05         NaN\n",
       "1990-02-06         NaN\n",
       "1990-02-07         NaN\n",
       "1990-02-08         NaN\n",
       "1990-02-09         NaN\n",
       "1990-02-12         NaN\n",
       "1990-02-13         NaN\n",
       "1990-02-14    0.148189\n",
       "1990-02-15    0.141003\n",
       "1990-02-16    0.135454\n",
       "1990-02-20    0.133388\n",
       "1990-02-21    0.128228\n",
       "1990-02-22    0.136539\n",
       "Name: AAPL, dtype: float64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "close_px.AAPL.rolling(window=250, min_periods=10).std()[:15] # min_periods代表最少取10天的值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22be2b554e0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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j9n2lVIa75cl9vHy4l0/9z2baff5xz23uGWR+2dhL9FfWFROJGna3jp1Hv/PF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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22be2b1c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "close_px.AAPL.rolling(window=250, min_periods=10).std().plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22be2bc60f0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XdH2yaG/WmV4uG4CzNV5d5t5whBgYyqxlbCnbwtayreys2ElBfUH7a8GWYJJD\nkpkYO5ELwi8gIyyD1NBUEoMT8Tf7ezBqz9uaX80P3tjBqIQwnr5xtLSbd1H/b2wTwsO01pQ3lbO7\ncjc7ynewpWwL2bXZAIT5hTE+Zjw3DLmBYRHDyAjPIDYwVhLVGWzMPs7Cf28nITyA1+6eRKCvpKeu\nkp+YEF3k1E7y6/PZXLKZbeXb2F25m4omo09AgDmAMVFjuC7rOqbETyEzIrPP3XXZF72/8xi/eGc3\naVFBvHHvFAYF+3k6pH5JEroQnVBuLWdt0VrWH1vP9vLtWG1WABKDE5kYO5Gx0WMZEzWGYYOGYTFJ\nj4zOcjo1z6/J5tnPjjA1I5KX7sySMc5P5bBDU1Wnd5eELsRZFDUUsaZwDSvzV7Ln+B7ASOBXp1/N\nyKiRZMVmkRIqN8t1V1ObnYfe2cNHe0u5YXwif7xxNH7mgdlrp53W0FwDDWXQWA7WSrAeh6bjRuJu\nqjYe1krj0VzdpdNLQhfCxe60s6N8B+uL17OueB359fkADI8czgPjH+CylMtID0uX9m83OFRWz08W\n7+JweQOPXjWM783I6N8/V3sr1JdAQ6mxrC8xknZTlZHAm6qMBN5YDo62bx6vfCAwEgIijWX0UEib\nBkExEBQFTyzsVBiS0IVXa3W08kXxF3ya/ykbjm2g0daIxWQhKzaLW4feyszkmSSFyCTE7rQx5zj3\nvb4df18fXr4ji9l9eWxzraG1/mSSbk/ax6C+FBpc287ULGIJhMAoCIwwEvWgCyAkFoLjTi6DYyBw\nEPiHg+lc11okoQtxRk7tZE/lHpblLGNF3goabA1E+EVwedrlTEucxrSEaQRaAj0d5oCjteaNzQU8\n/uEB0qOCeP2eyST01GBb9lajhtxQZiTgllpjm60Z7C0nl/YWsLmW9lZwtBrPW+qMY5qq4ZQbvNoF\nDoLQBAhJgMQs13q8sTzx8AuFXv7WIQldeAWb08bWsq2sK1rHZwWfUdFcgb+PP5elXsb8jPlMjp88\nIG6Z76sqG1r59dK9rDxQzqxhMfx1wbjzu51fa6NmXHkQagqgrhhqC6EmH2oLjPbnczFZwBIAZn+w\n+BtLsx/4+BnrEWkQEA4BERAce3qiDok39u2D5C9YDFhNtiY2lmzk86LP+bzwcxpsDfiafJmeOJ3Z\nqbO5NPlSgn2DPR3mgKa1ZvmeUn77wT6sbQ5+deUwvjsjAx9TJ2uubVYjSVfnQnWesaw8BOUHoLXu\n5H4mM4QmQkQqDL0KwpIgJM5IviFxRmI2B5xM3gN0yARJ6GJAqWiqMLoXFq9nU8km2pxthPiGMCtl\nFpelXMbUhKn9dvTB/ibvuJWEr6+fAAAdRklEQVT/XnGIT/aVMTY5nD/fPIYLYs4whEFzzclkXZN3\ncr06DxrLTt83IBKiMmH0TRAz3HhEZhi16AGapLtCErro96qaq1hduJoV+SvYVrYNjSYhKIFbht7C\nzOSZTIydKM0pvejEZM6vb8rHpBQPX57JwgnBmGv3wa6802vbNXlGQj9VSLyRpC+YDZHprkcGRKQb\nzSDirOSvXPRLRQ1FfFbwGeuK17GzYidO7SQ9LJ3vj/0+c1PnMjh8cP/uBtdfOB3QWGG0W9fkk5d9\nkN379zHVVsMdYa0k+bVg3lgK66wnj1EmCEs2kvTI608m68gMo+3aVy5Id5ckdNFvHG8+zprCNXyQ\n8wF7Ko0bfYZGDOV7o7/HnNQ5ZEZkShJ3N6fT6Dtdk2dcdKwtNC5A1hUZNey6YnCNzw6QDoSpcAKi\n4wkIizZ6gwTPMZJ1ZIZR2w5LBrOv58o0gElCF31aq6OV1QWr+TD3QzaVbMKhHVwQfgE/m/gz5qTO\nkT7i58vWYiTnmgKjll1XbPSxrjtmbK8vAaft9GOCoo2LjokTYeQNHGkN4+87bRxoiuDy6ZP48dxR\nA/+Ozz5KErroc+pa69hUsom1xWtZV7SORlsjCUEJfGfkd7gy/UqpiXeFw2b0w64tOqWGXWgk8Oo8\nqC8+fX+T2WjDDkuCpEnGMizJaBKJSDPWLcYQv3aHk7+uPsrzX2QzODqIZ78zjjFJ0sbtSZLQRZ9Q\nZi1jdeFqVuavZFflLpzaSYRfBLNTZ3NV+lVMiZ8ioxZ+ndNpjAHSXsMuPHnr+alL7Tz9uOBYIzmn\nTT/Zbh2eYjxC4jrVW6SivoX739zB1vwabp6YxJPXjcLfIrVyT5OELjym3FrOmqI1fJT7EbsrdwMw\nJGII9466lxlJMxgTNWbATrHWKVobdyzWFZ1Swy6Aqhyj/bq20Liz8VS+IRAab9Sy0y9x1bATjWQd\nlnJaDbt7IWne23GMP3x8kKY2B8/dOo5rxyXIN6Y+QhK66FUljSV8kvcJawrXtI9gmBmRyY/G/Yg5\naXPICMvwcIS9yOkwatG1ha6k7UrYdcdOtmPbrKcfYwmEyMFG/+uhVxoXGMMSITwVwpPBv2fm39Ra\nszW/hj+tOMT2ghrGJYfz3zeNITPWe6bG6w8koYseV9NSw0e5H/Fp/qfsqjSmpR05aCQPTniQmUkz\nB24XQ62NHiJVOVCVbSTtumLXbeoFrguO9tOPCY41atHRw4x+2KGJRsIOczWJBEX16vggNoeTlfvL\neWVDLjsKa4kN9eOPN4zm1qxkTJ2921P0GknoHbC22sk7bqWyoZUqaxu1TW00ttpxOjVBfmaGx4cy\nNWMQvmZp3z3V8ebjrC9ez5rCNXxZ8iV2p50hEUP4yYSfMDdtLskhyZ4O0b2cDuOW9GM7oGQHlOyC\nysOn17CVz8kLjslTjRr1ibZrNzSHuIvDqdmSV837O4/x6YEyaptsJEcG8MT8kdyclSRTw/VhXveb\naWy1s7Owhl2FtVjbHDS32TGZFP4WHwIsPvhbTNQ02cirtHKkooG841a0Pvc5Ayw+TLsgitnDY7h0\nWAyxoZ7/p+xtLfYWtpVvY1PJJjaVbuJozVEAEoIS+PbwbzN/8HyGRAzxcJRu1NYEZXuheAsUbob8\nL4z2bgC/MIgfAxPuMIZMjUyHQUOM2rZP3/2Xyz9u5c0thby34xjHG1sJ8vVh7sg4rhkbzyWZMZ0f\nf0V4TN/963Ijm8PJqgPl/HtTAV/lVeF0JWhfs4kAiw9OrWmxObA5jBfMJkVyZCBDYoKZPzaBobEh\nxIb5MyjIl/AAX4L9zfiYFPUtNrblV/P5oUrWHKrgs4PlAMSF+jMqMZQR8aEMiQ0hdVAgcWH+RAX5\nDaivqU22JtYXr+eTvE/YVLqJZnszviZfxseO58EJDzI9cTpDI4YOjOaUpmrIWw+5ayFvnXFR8oTw\nVBg+3+g1kjjRaOM+59jWfUduZSOrDpSz6kA52wtr8FGKWcNimD8ugVnDYqQ23s8o3VH1042ysrL0\ntm3beuW9bA4necetbDh6nFe/zKO4ppmUyECuGRvPpLRIJqdHfuOP1e5w0mJ3EmDx6XJtRGvNobIG\nvsw+zt5jdewvqSe3srH9wwPAz2wiIzqYzNhghsaFMDw+lOhgP8ICLIQFWgjxM/f55NfQ1sDaorWs\nzF/JptJNtDpaiQ6IZlbKLGYmzyQrNgt/c9/+hmJzONmcW8WuwlpMJoWvjwmLjyLA1wd/iw8mpTA7\nWxlUtZ2oik1EVWwipPYACo3dHERt7FQaB42mJWIorXET0cGxOJwah1NjdzpdS43DofExKXxMCrNr\n6WfxIdjPbDz8zQRafHr8Q97mcFJjbaO6qY3qxjaqrG3sK6lj1YFyciuNJqER8aFcPjKO2yYnE+OF\n3zD7OqXUdq11Vof7dZTQlVKvAvOACq31KNe2SOAtIA3IB27RWtec7Rwn9FRCb7E52F9Sz5a8ao6W\nN3CorIHsikbaHEb/2/Ep4Xz/ksFcNiwGs0/v1ZxabA7yjlsprmmmtK6ZwqomjlY0crS8gZK6lm/s\n72NShPqbCQ/0JTTAQpCvD35mE35mH/wsJnx9TDg1OLWRMOwOJzaHE5NSBPr6EOhnJsTPTIi/kTDC\nA31JCA8gOTKA2BD/biUOp3aSX5fPlrItrC1ey9bSrbQ524gNjOWylMuYnTqbCTET+nz3wrpmG18c\nreTT/eWsO1xBfcvJi5E+OEhXpQxVxUwwHWWi6TAjVAG+ykGb9mGnHsIGxyi+dI5itx6MA/eWNdDX\nhyBXkg/09SHI10yArw9Bfj74m31O+5A/9fP+xKrGSNptduPvodXupKnNQbW1jarG1tPKeoLZpJia\nMYg5I2KZPSKWxJ6aaEK4hTsT+sVAI/D6KQn9v4FqrfXTSqlHgAit9S87ejN3JPQWm4O/rclm7ZEK\n8iqt2By6PXGD0dyRGRfCcFcNeHRSGIOj+96Y13VNNo5UNFBtbaOu2UZ9s43aJht1zTZqm41lc5ud\nVruTVpuTVruDVruRvE/U+iw+CrPJhFNrrG12mlodNLTaabM7v/F+vj4mEsL9SYwIIDkikAtigrkg\nJpjUQUEkhgfgazahtabEWsK+4/vYf3w/+6qMZZO9CYDU0FRmJM7givQrGB01us/f6FPZ0Mo724tY\ndaCcPcV1OJyaqGBfZg6NYV6qkwvVHswFGzBlf4pytX87ffxpiRlLc+wEmhIupDF2Mg5zINr1QWo8\nXB+qrr89h9OJj8nUXgs/sfQxKZwaHE4ndofxIdxic9DYasfa6sDaaqeh1U5Tqx1rm51G17amNjvN\nbQ7XNR7HGcv29f9bi9nk+qZham9KjAz2ZVCQL5FBJ5Z+xnqw8UEf7CfNKf2F2xK662RpwPJTEvph\nYKbWulQpFQ+s1VoP7eg855vQ2+xO7vv3Nj4/XMnUjEiGxYXiZzER4mdmcHQwUzIGERkkg/602h00\nttipabJxrLaZouomimqaKK5ppqS2mYKqJqqtLShzHSb/MswBxQQEl4BfEQ7VCICPMpMafAFjY0Yz\nIW4MY6PHkh6W7uGSdUxrzYHSet7YXMi724tpczgZmxzOxUOiuDTVwrialZj2LIaSncYBAZFGf+70\ni42ugjEjZOAo0ed0NqF39yM6VmtdCuBK6jHnCGQhrhlOU1JSuvl24HRqfvnuHj4/XMl/XT+K26ek\ndvtcA52f2Qe/YB8GBfuRMsiXxOg64utLiK7PI6IuH//aHLJrs2lxGM0+ChMBKgGzfSy2pgSqquKw\nNcdSi5ndwPIgX9KjShkcXU9GdDDpUUFkRAURG+bfJ9r9tdbsL6nnk32lrNxfztGKRnx9TNyclcQ9\nFyYwuHoDHHgV3v7QuLMybgzMfgIyL4eoof3mAqYQHeluDb1Wax1+yus1WuuIjs7z9Rq61prC6iZe\n25jPuiOVBFh8uCQzmoUXZxAeeLKW1GJz8ODinXy6v5yfz8nkx5cNoO5vbqC1pqKpgvz6fPLr8o2l\na73EWoLzlLE8ogOiyQjLYEjEEDLCMxgcNphhkcNOmxTZ5nBSVN1ETqWV3MpG8qus5FZayXX1xz9V\nkK8P8eEBxIf5kxQRQFJEIKmDAokPCyAq2JcAiw9+Zh98zSb8zKZuXwDUWtPYaqe2yUZNUxvl9a0c\nKW/gYGk9OwpqKKlrwcekmJwWyVVj4rl6SCCR2/8Xtv/LmKosIAJG3QQT7jS6FArRj/R0Db1cKRV/\nSpNLRVcOrra2sWR7Ef/8Mp/SuhbMJsXModE0tTl4cX0u72wv5jdXDyc9KojDZQ28uD6X7IpGfnP1\ncO6d3ve/9ruTUzupba2loqmCiqYKKpsqqWg+uV7eVE5BfQHNp8xMHmAOIDU0lVFRo5g3eB6poamk\nh6aTGpraqTk0LT5Gb5yM6GAg9rTX6lts5FZaKaiyUl7fQmldC6W1LZTWNbOypJ4qa1sH51bGNwiz\nqT3JK6XQWqMxbq7UaJyuzyCtNTanpraprb1b6akSwwMYlxLOg5nRzBkRR2SgBfa8Ba89YQxMNeoG\nGHe7Ma5JH+4DLoQ7dPcvfBlwF/C0a/lBVw7+4mglf/j4EFPSI1l4cQZzRsSSFGHUEPcdq+OhJXt4\ncPGu9v0zY4N5+c4s5oyIPdsp+yybw8bx5uNUNldS31aP1WalydaE1WY9/WG3tr/WaGts36emtQb7\n128PByL9I4kJjCE6IJqs2CxSQ1NJC0sjLTSN2MDYHmsGCfW3MC45nHHJZx4mtbHVTlF1E2X1LRxv\naKXVbvS+aLWfvLDbdmLdZmzXGD02lDKWJteKQqGU8SEQHuhLRKCF8EBfIgONC3sXxASfPnN8TT68\n91PIWQPx4+DWNyBpYo/8HIToizrTy2URMBOIAsqB3wHvA28DKUAhcLPWurqjNzvR5NLUZqegqonh\n8aFn3M/mcLIxpwq7w0l0iB+jEsL63A05NoeN8qZy42E1lhVNFVQ2V1LdUk1NSw1VzVXUtJ67N6ev\nyZdg32ACzYEEWYIIsgQRaAkk2BJMkCWIcL9wogOjiQmMMR4BMUQFRGHxsZzzvF5Fa9j7Dnz0c+MW\n/DlPQNa90jYuBgy39nJxl968sai7tNZYbVaqW6qpbqmmsrmSyqZKKpsrKWksoaSxhGONxzjefByj\nkeCkQHMgMYExRPpHtj+iA6OJDogmOjCaUN/Q9qR9InFbTJKYz0vJLvjkl1C0GZKnwA0vQ4RcMBcD\nS0+3ofdbWmsabY2UWcs41niM4oZiihuLOdZwzFg2HjutPfoEszITGxRLQnAC0xKnER8UT1xQHLGB\nscQFxRETGEOIrwwl2mtaG2HNk/DVi8aUaPOehfF3Sju58GoD7q+/rrWO3LpcihuKKbWWtj/KreXU\ntNRQ11qHXZ/eJh1oDiQpJImUkBQuTLiQ2MDY9hr2oIBBRAVEEeEX0efvhvQKWsO+d2HFI2A9DpPu\nhUt/DYGRno5MCI/rtwndarNyuPow2bXZZNdmc7TmKAX1BVQ2V562X4RfBHFBcSSFJDE2eizhfuGE\n+4UTGxRLUnASSSFJhPuFe7wvteiEyiPw4YNQuBESJsBtiyGpw2+hQniNfpHQa1pqyK3LJbcul6M1\nR9lVsYvDNYfb+1cHmAMYEjGEixIuYnD4YAaHDyYlJIXYoFgCzDJGRb/XUA7r/gTbXwPfILjmrzD+\njk7NfSmEN/F4QtdaU9taS15dHjsqdlDZVMnx5uPtj8rmym/0sR4dNZqFYxYyatAoMiMyiQ2K7fPj\niohusLfB5r/DumfA0WbcFHTpryE42tORCdEneSShbzy2ked2PEdDWwMVTRW0OU/ejBJiCWlvtx45\naCRRgVHEBsYyOHwwGWEZxAXFSfL2BgWb4OOHoHwvDL0K5j4FgwZ7Oioh+jSPJHR/sz/RgdGkhRk3\nwcQGGr1HJsZOJMyvZya5Ff1EdS6sfAwOLTema7v1PzB8nqejEqJf8EhCnxA7gQmxEzzx1qKvKtkF\nG5+HA+8bc29e+hu48H7wDez4WCEE0Afa0IUXs1bBviWw6z9Quht8g2HyQrjoAQiN93R0QvQ7ktBF\n73I6IHs17HwdDn8CTjvEjYYr/xvG3AoBZx4jRgjRMUnooudpDWV74PAK2PlvqCuCwEEw5fsw9jaI\nG+XpCIUYECShi56hNZTugv1L4eByqM4xtqdfYvRYGXqVzAwkhJtJQhfu4XRCxX4o2AhFWyD/C2gs\nB5MZ0mbAtAcg80oI6X9DIAvRX0hCF92jNVTlQN5ayF1nJPBm11DBIQmQOg0umA2ZV0DQII+GKoS3\nkIQuOq+5BvK/hNy1kL3KmFACICzZaEJJmwFp0yC8+3PHCiG6TxK6ODNbC5Tvh9KdULYXircZz9Fg\nCTSS90U/hoxLITLDmG5ICOFRktC9VUsd1BZBXbHR66S20FjWFRvbG8vhxAQe/uGQMA4ufdRoSkma\nJBc0heiDJKEPRG1N0FQFDWWuJF3kSt6nJOzWutOP8fGFsCSj+WTIbAhLgZjhRiIPS5YauBD9gCT0\nvs5hh7YGaLMas/S0NRq154ayU5YVxnpjhZHIzzDjEv5hRmIOS4bUi1zrSUZ7d1iyMeuPzMEpRL8m\nCf18OR1gbwF7Kzhs4HAt7a3Guq35ZCJuazw9MbdZT25v/drzE/s5Ws/x5gqCoiA41nhEDzN6lAS6\nHkExEO5K4v5nnpBbCDFweGdCd9iNNuTWOmhtOJlgWxuMZUvd1x71pyRbq/GwWY1k7Wjr+P3OxMfX\nmKzBN8RY+gUby+AYY0yTE899g12PE/sEG7XpkDhj6SOTTAshDP07oTudRmJtsxrJuLkWWmqN7nXN\ntUbzg7USrBXGrDfWSmiuNpJ0R5TJaKbwDwe/EOMRHONKskFgCTJGAjQHgNnPePhYwMfPSNZmX2Np\nCTSObU/OrqVcVBRCuNl5JXSl1BXAXwEf4B9a66c7dWBjpTG2h/W4K+FWgq3JaL7QTkAbN66cWG9r\ngtZ6o6bcUmsk67ZG45iOBES6arSxkDjhZHNEQAT4hRq1Xr+Q02vCAeHGulwIFEL0I91O6EopH+Dv\nwBygGNiqlFqmtT7Q4cH5X8CSu08+N1mMRGryMWrGKGOplLFuCXDVlkMhNMFYP1FrPlFj9g0xErF/\n+OlLaZIQQniJ86mhTwaytda5AEqpxcC1QMcJPf1iuHuFUXMOijIStNSGhRDivJxPQk8Eik55XgxM\n+fpOSqmFwEKAlBTXLeFBUcZDCCGE25xPx+MzVan1NzZo/ZLWOktrnRUdLbO1CyFETzmfhF4MJJ/y\nPAkoOb9whBBCdNf5JPStwBClVLpSyhdYACxzT1hCCCG6qttt6Fpru1LqR8CnGN0WX9Va73dbZEII\nIbrkvPqha60/Bj52UyxCCCHOg4zGJIQQA4TS+hsdU3ruzZSqBAp67Q0NUcDxXn7PvkDK7V28sdze\nVOZUrXWH3QR7NaF7glJqm9Y6y9Nx9DYpt3fxxnJ7Y5k7Ik0uQggxQEhCF0KIAcIbEvpLng7AQ6Tc\n3sUby+2NZT6nAd+GLoQQ3sIbauhCCOEVJKELIcQAIQldCCEGiAGT0JXyvhkylFL9e07Y8+Rtv3Ol\nVKBr6TXlVkrJlGNd0K8TulJquFLqQgDtRVd3lVIXKqVeBiZ5OpbepJSarpT6P6XUD8E7fudKKZNS\nKlIptRJ4CLym3FNds6A9o5Qa5el4+ot+mdCVUmGuhLYYeFIp9V9KqQs8HVdvUEp9D6O71g5gp2tu\n1wFPKTUB+D9gO3CVUupZpdQ4D4fV47TWTsAOhAEZSqnZMLBr6UqpmzF+18sBf+Bnru0Dtszu0i8T\nOkZNRWmtxwL3AYOANI9G1HtSgF9rrf9Pa92itXZ4OqBeMhnYqrX+B/BdoAkjsXvDXIYjgDLgC+Aa\npVTAAK+lDwE+1Fq/ATwLRtPLAC+zW/SbhO6aSCPA9fRl4LcAWuscIBwY7anYepKr3H6u9UhgFLBF\nKTVLKfWpUupRpdQNrtcHTA1GKXWLUupnSqmLXJt2AMFKqTitdRmwBmNwpmkeC7IHnFLuqadsLgD2\nA0cAJ3CFUirOIwH2gFPKfKFr02HgBqXUw8AmIAH4u1LKq5oYu6PPJ3SlVJpS6hPgH8AbSqmhWusC\nrXWJa6YkgGYgx3NRut/Xyv2mUmq41roaqAL+A1wHvACUAr9VSo0dCDUYpZSPUuq3wC9dm15USl0D\nWIF84BLX9nVAHa5pEPv7h9kZyv3yiQ9qYBwQpLVeD9QCzwNPKaXM/bncZynzfOA94EHgYuBOrfUV\nQCVw40D6IOsJfTKhf+2P9BfAV1rry4DPMdrMR7peO9HckAgUuY7tk2XqjHOUew3GP3A68DuMbyMl\nWusPtNb/xJhk5NpeD7gHuJqQhgI/11r/BXgC+DHGZCylwDil1AittR2jJne967h+/WF2hnL/DnhA\nKZWJMVevVSn1T+BujJr6Hq21vT+X+yxl/imQqbVeDbRg/I4BPgDGYHywi7Poq8nPH07rlrcfQGv9\nN4y21G8ppWK01g7XxdBqrfVOpdQPgMeUUuEeifr8na3cfwcmAgsxair/AG465bgYYGPvheleSqk7\nlVKXnPJ7KwcilFJmrfUSjG9fs4ET/+RPufZLBLb21+6bHZT7PYzf/7VANDAXaADGAs8A45VSab0f\n9fnpoMzvYpR5gasmnsPJv/PxGL97cQ59KqErpeYopVZhdFW6xVULq8b44x2rlBoL7ANSMS6EAmQA\nk5RSnwPzgcVa61pPxN9dnSz3fowLoila60eBQqXU00qpzUCk6/V+QxniXb+3u4DbMdpJgzEmLRgN\nBLt2/ytwB1ChtX4CqFVKfYQxMfk/XD+vfqGL5f4b8C1gNzBLa/2A1roO2AU8rLXO7/UCdEM3ynw9\nxrfvlRj/25uBm4FHtdYNvV6A/kRr3ScewAXAVxg1kvHAIuCHQAjwGEYXpg1AFvAm8IDruNsxkt9s\nT5ehl8r9U9dxocAwYK6ny9CNMvu4lpnAG651M8Y1gVcwLnJ/itGGGuh6/e1Tym4Boj1djl4s94Ou\ndRNg8nQ5eqHM7wA/dK0HA6M9XY7+8vDoV9UT7d3a6Gs7Bdiutf7A9dpnwJ+Bd7TWTyqlMrTWua7X\nvgRaXadZrLX+T+9H331uKneD1voQcKjXC9BNrqaR3wM+SqmPMT6UHABaa7tS6kcY3fP+gvHhtQCI\nB94CbLialbTWNoymp37BDeXe7NrX2fvRd895lrkN434DtNaNwN5eL0A/5bEmF6XU3UAx8KRr017g\ntlPaBc0YbWjPup7nuY5bCNyL0Y0N3c/6Ybux3P3qYphS6hKMf9IIIBuj/DbgUqXUZGhPWE8Az2it\n/4XxlftOpdROjJ9Lv/vH9sZye2OZ+wxPfC3A+Br1PkbXpB3AMNf25zCaHL4E3sBoW/sIiHW9/hNg\nKzDJ019tpNxdLvsM4I5Tnr8A/AD4DsY3FDAqGHHAEiDZtS0OyPB0/FJuKXN/eHjyl57iWj4NvOVa\n98G4wDfd9TwZeA3wcz0P9PQPTMrd7XIHAn6cbFO9Hfija30X8GPXehawyNPxSrmlzP3x4bEmF611\noWv1OSBdKXW5NppP6rTWG1yvfR/jFm+765im3o/Uvby43E1a61Z9solsDifbwe8GhiullmN8U9nh\niRh7gjeW2xvL3Fd4vP+u1rpMKfUK8CjwqTb6lk8Gfo3Rm+Ee3c/ayTvDW8utjMHENBALLHNtbsD4\nOYwC8rTWxzwUXo/xxnJ7Y5k9zeNziiqlTFprp1JqCcadgK3AZ8BRbYzTMiB5cbkV4Itxc9RS4B6M\n4Qx+rLWu92RsPckby+2NZfa0vlBDdypj4P4YYCbwe631Cs9G1fO8uNxaKTUeo101Hfin1voVD4fV\n47yx3N5YZk/zeEJ3+SFGW9ocrXVrRzsPIN5a7mKMpqW/SLkHPG8ss8d4vMkFTjY/eDqO3uat5RZC\n9Iw+kdCFEEKcvz41OJcQQojuk4QuhBADhCR0IYQYICShCyHEACEJXQghBghJ6EIIMUD8f4ZBmbsM\nqr5FAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22be2c24fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "close_px.expanding(min_periods=60).mean().plot() # 对DataFrame取60天平均线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 指数加权函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Exponentially-weighted MA')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rV67UgD5x4kSK/VevXq0BvWPHjiTPnz17Vj98+DDdcYon7+LFi3rJkiU6e/bs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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22be2d94828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=1, sharex=True, sharey=True, figsize=(12, 7))\n",
    "aapl_px = close_px.AAPL['2005':'2009']\n",
    "ma60 = aapl_px.rolling(window=60).mean()\n",
    "ewma60 = aapl_px.ewm(span=60).mean() # ewm = 指数加权\n",
    "# ewma60 = pd.ewma(aapl_px, span=60)\n",
    "aapl_px.plot(style='k-', ax=axes[0])\n",
    "ma60.plot(style='k--', ax=axes[0])\n",
    "aapl_px.plot(style='k-', ax=axes[1])\n",
    "ewma60.plot(style='k--', ax=axes[1])\n",
    "axes[0].set_title('Simple MA')\n",
    "axes[1].set_title('Exponentially-weighted MA')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 二元移动窗口函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1990-06-19         NaN\n",
       "1990-06-20         NaN\n",
       "1990-06-21         NaN\n",
       "1990-06-22         NaN\n",
       "1990-06-25         NaN\n",
       "1990-06-26    0.443796\n",
       "1990-06-27    0.448514\n",
       "1990-06-28    0.454206\n",
       "1990-06-29    0.448460\n",
       "1990-07-02    0.442510\n",
       "dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "spx_px = close_px_all ['SPX']\n",
    "spx_rets = spx_px / spx_px.shift(1) - 1\n",
    "returns = close_px.pct_change()\n",
    "corr = returns.AAPL.rolling(window=125,min_periods=100).corr(spx_rets)\n",
    "corr[95:105]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22be2c805c0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ESqiQTZZDSi0twurEcx8HoISZdzBzPYB5AC6O56CEQbXKkGiXkxG0bijERFqo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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22bd91dbcc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22bd91dbe10>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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TJB2S9SaabiAcYMZm51qFLhmqrCoSSaf3v390/X/tSBr/JP5UBCNBJNJi/JtnJVicUmoo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\n5cub1F8nSYhdgRCQluOq7w5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qpn/wzG5U4yAlMdGUL+g+NHb5O/Zqg/9vRiOT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\nv0KhUCQg/w/cPBhO4SZjTwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22be2ce3828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr = returns.rolling(window=125, min_periods=100).corr(spx_rets)\n",
    "corr.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 用户定义的移动窗口函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22be311a240>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xk40xg40xPzHGxH0ij6e+snIwuBMZpacKGWkpMVtR3L2+Y7d2WWTbPeeje4de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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22be2d94518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "score_at_2percent = lambda x: percentileofscore(x, 0.02)\n",
    "# result = pd.rolling_apply(returns.AAPL, 250, score_at_2percent) # 回报率的2%分位等级\n",
    "result = returns.AAPL.rolling(window=250).apply(score_at_2percent) # apply里可以通过args和kwargs传递更多参数\n",
    "result.plot()"
   ]
  }
 ],
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